SOLUTION: please solve the equation.
directions i was given:
solve the following.
{{{ x=(Square root)x+2 }}}
thank you
Algebra.Com
Question 174721: please solve the equation.
directions i was given:
solve the following.
thank you
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the equation ???
Start with the given equation.
Subtract 2 from both sides.
Square both sides.
FOIL.
Subtract x from both sides.
Combine like terms.
Notice we have a quadratic equation in the form of where , , and
Let's use the quadratic formula to solve for x
Start with the quadratic formula
Plug in , , and
Negate to get .
Square to get .
Multiply to get
Subtract from to get
Multiply and to get .
Take the square root of to get .
or Break up the expression.
or Combine like terms.
or Simplify.
Take note that if we plug in , we get an inconsistent equation. So is NOT a solution
So the answer is
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
:
isolating the radical
:
squaring both sides
:
multiplying terms
:
combining like terms
:
factoring
:
x=4 and 1
because we squared these terms we must check for extraneous roots.
:
upon checking 1 is thrown out
:
and the final solution is
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